Finding the Third Proportional to 359,536 and 780,185

Step by Step Solution

1. Step 1: Write the proportion equation
   359,536 : 780,185 = 780,185 : x
2. Step 2: Convert to fraction form
   359,536/780,185 = 780,185/x
3. Step 3: Cross multiply
   359,536x = 780,185 × 780,185
4. Step 4: Simplify right side
   359,536x = 608,688,634,225
5. Step 5: Solve for x
   x = 608,688,634,225/359,536
6. Step 6: Final answer
   x = 1,692,983.83